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Relation between Change in Potential Energy and Work Done

  1. Jun 22, 2013 #1
    Why is dU=-[itex]\vec{F}[/itex].d[itex]\vec{r}[/itex]
    Integrating with putting the limits on we get:
    ΔU=-W
    Why is this? Here [itex]\vec{F}[/itex] is a conservative force/Force field.
     
  2. jcsd
  3. Jun 22, 2013 #2

    tiny-tim

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  4. Jun 22, 2013 #3
    Does it have any proof? Or is it just stated out of nowhere?
     
  5. Jun 22, 2013 #4
    Potential Energy is actually defined that way. It doesn't require a proof.
     
  6. Jun 22, 2013 #5

    tiny-tim

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    yup! :smile:

    definition! :wink:

    (also applies eg to gravity)

    (and only works for conservative forces)
     
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